Probing transverse momentum dependent structures with azimuthal dependence of energy correlators

• Published in: The journal of high energy physics 2024-03, Vol.2024 (3), p.153-36, Article 153
• Main Authors: Kang, Zhong-Bo, Lee, Kyle, Shao, Ding Yu, Zhao, Fanyi
• Format: Article
• Language: English
• Subjects: Accuracy; Asymmetry; Classical and Quantum Gravitation; Correlation; Correlators; Electrons; Elementary Particles; Energy; Formalism; Hadrons; Inelastic scattering; Nuclear physics; NUCLEAR PHYSICS AND RADIATION PHYSICS; Partons; Phenomenology; Physics; Physics and Astronomy; Polarization; Properties of Hadrons; Proton beams; Quantum Field Theories; Quantum Field Theory; Quantum numbers; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Sensors; Specific QCD Phenomenology; String Theory; Theoretical physics; Transverse momentum
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP03(2024)153

A bstract We study the azimuthal angle dependence of the energy-energy correlators in the back-to-back region for e + e − annihilation and deep inelastic scattering (DIS) processes with general polarization of the proton beam. We demonstrate that the polarization information of the beam and the underlying partons from the hard scattering is propagated into the azimuthal angle dependence of the energy-energy correlators. In the process, we define the Collins-type EEC jet functions and introduce a new EEC observable using the lab-frame angles in the DIS process. Furthermore, we extend our formalism to explore the two-point energy correlation between hadrons with different quantum numbers in the back-to-back limit . We find that in the Operator Product Expansion (OPE) region the nonperturbative information is entirely encapsulated by a single number. Using our formalism, we present several phenomenological studies that showcase how energy correlators can be used to probe transverse momentum dependent structures.